Problem
A contractor estimates that he could finish a project in 15 days if he has 20 men. At the start, he hired 10 men then after 6 days, 10 more men are added. How many days was the project delayed?
| A. 5 | C. 6 |
| B. 3 | D. 4 |
Situation
A tank is supplied by two pipes A and B and emptied by a third pipe C. If the tank is initially empty and all pipes are opened, the tank can be filled in 20 hours. If the tank is initially full and A and C are opened, the tank can be emptied in 4 hours. If the tank is initially full and B and C are opened, the tank can be emptied in 2 hours. Pipe A supplies 50 liters per minute more than B.
1. Find the rate of pipe A in liters per minute.
| A. 120 | C. 110 |
| B. 130 | D. 140 |
2. Find the rate of pipe C in liters per minute.
| A. 170 | C. 150 |
| B. 160 | D. 140 |
3. Find the capacity of the tank in liters.
| A. 12,000 | C. 11,500 |
| B. 12,500 | D. 13,000 |
Case 1: Workers have different rates
Work rate = (1 job done) / (Time to finish the job)
Time of doing the job = (1 job done) / (Work rate)
For example
Albert can finish a job in A days
Bryan can finish the same job in B days
Carlo can undo the job in C days
The following is an attempt to classify the verbal problems.
Number-related problems
Number-related problems are considered as the most basic type of verbal problems. It is taken as the base point of analysis for more complex type of problems.
